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Finding the Fourth Proportional to 4,807.64, 7,208.60 and 2,307.62

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Solution

The fourth proportional to 4,807.64, 7,208.60 and 2,307.62 is: 3,460.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,807.64 : 7,208.60 = 2,307.62 : x
  2. Step 2: Convert to fraction form
    4,807.64/7,208.60 = 2,307.62/x
  3. Step 3: Cross multiply
    4,807.64x = 7,208.60 × 2,307.62
  4. Step 4: Simplify right side
    4,807.64x = 16,634,661.95
  5. Step 5: Solve for x
    x = 16,634,661.95/4,807.64
  6. Step 6: Final answer
    x = 3,460.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.