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Finding the Fourth Proportional to 4,762.83, 7,116.65 and 3,440.31

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Solution

The fourth proportional to 4,762.83, 7,116.65 and 3,440.31 is: 5,140.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.83 : 7,116.65 = 3,440.31 : x
  2. Step 2: Convert to fraction form
    4,762.83/7,116.65 = 3,440.31/x
  3. Step 3: Cross multiply
    4,762.83x = 7,116.65 × 3,440.31
  4. Step 4: Simplify right side
    4,762.83x = 24,483,482.16
  5. Step 5: Solve for x
    x = 24,483,482.16/4,762.83
  6. Step 6: Final answer
    x = 5,140.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.