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Finding the Fourth Proportional to 4,937.40, 7,410.15 and 4,775.40

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Solution

The fourth proportional to 4,937.40, 7,410.15 and 4,775.40 is: 7,167.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,937.40 : 7,410.15 = 4,775.40 : x
  2. Step 2: Convert to fraction form
    4,937.40/7,410.15 = 4,775.40/x
  3. Step 3: Cross multiply
    4,937.40x = 7,410.15 × 4,775.40
  4. Step 4: Simplify right side
    4,937.40x = 35,386,430.31
  5. Step 5: Solve for x
    x = 35,386,430.31/4,937.40
  6. Step 6: Final answer
    x = 7,167.02

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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.