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Finding the Fourth Proportional to 4,653.66, 6,985.35 and 2,923.50

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Solution

The fourth proportional to 4,653.66, 6,985.35 and 2,923.50 is: 4,388.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.66 : 6,985.35 = 2,923.50 : x
  2. Step 2: Convert to fraction form
    4,653.66/6,985.35 = 2,923.50/x
  3. Step 3: Cross multiply
    4,653.66x = 6,985.35 × 2,923.50
  4. Step 4: Simplify right side
    4,653.66x = 20,421,670.73
  5. Step 5: Solve for x
    x = 20,421,670.73/4,653.66
  6. Step 6: Final answer
    x = 4,388.30

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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.