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Finding the Fourth Proportional to 4,602.90, 6,307.74 and 4,160.02

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Solution

The fourth proportional to 4,602.90, 6,307.74 and 4,160.02 is: 5,700.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.90 : 6,307.74 = 4,160.02 : x
  2. Step 2: Convert to fraction form
    4,602.90/6,307.74 = 4,160.02/x
  3. Step 3: Cross multiply
    4,602.90x = 6,307.74 × 4,160.02
  4. Step 4: Simplify right side
    4,602.90x = 26,240,324.55
  5. Step 5: Solve for x
    x = 26,240,324.55/4,602.90
  6. Step 6: Final answer
    x = 5,700.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.