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Finding the Fourth Proportional to 5,070.74, 7,604.16 and 2,437.50

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Solution

The fourth proportional to 5,070.74, 7,604.16 and 2,437.50 is: 3,655.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070.74 : 7,604.16 = 2,437.50 : x
  2. Step 2: Convert to fraction form
    5,070.74/7,604.16 = 2,437.50/x
  3. Step 3: Cross multiply
    5,070.74x = 7,604.16 × 2,437.50
  4. Step 4: Simplify right side
    5,070.74x = 18,535,140
  5. Step 5: Solve for x
    x = 18,535,140/5,070.74
  6. Step 6: Final answer
    x = 3,655.31

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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.