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Finding the Fourth Proportional to 4,607.75, 6,909.60 and 1,320.10

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Solution

The fourth proportional to 4,607.75, 6,909.60 and 1,320.10 is: 1,979.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607.75 : 6,909.60 = 1,320.10 : x
  2. Step 2: Convert to fraction form
    4,607.75/6,909.60 = 1,320.10/x
  3. Step 3: Cross multiply
    4,607.75x = 6,909.60 × 1,320.10
  4. Step 4: Simplify right side
    4,607.75x = 9,121,350.64
  5. Step 5: Solve for x
    x = 9,121,350.64/4,607.75
  6. Step 6: Final answer
    x = 1,979.57

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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.