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Finding the Fourth Proportional to 4,877.10, 7,319.73 and 4,417.83

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Solution

The fourth proportional to 4,877.10, 7,319.73 and 4,417.83 is: 6,630.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,877.10 : 7,319.73 = 4,417.83 : x
  2. Step 2: Convert to fraction form
    4,877.10/7,319.73 = 4,417.83/x
  3. Step 3: Cross multiply
    4,877.10x = 7,319.73 × 4,417.83
  4. Step 4: Simplify right side
    4,877.10x = 32,337,322.79
  5. Step 5: Solve for x
    x = 32,337,322.79/4,877.10
  6. Step 6: Final answer
    x = 6,630.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.