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Finding the Fourth Proportional to 4,329.16, 6,494 and 1,209.10

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Solution

The fourth proportional to 4,329.16, 6,494 and 1,209.10 is: 1,813.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,329.16 : 6,494 = 1,209.10 : x
  2. Step 2: Convert to fraction form
    4,329.16/6,494 = 1,209.10/x
  3. Step 3: Cross multiply
    4,329.16x = 6,494 × 1,209.10
  4. Step 4: Simplify right side
    4,329.16x = 7,851,895.40
  5. Step 5: Solve for x
    x = 7,851,895.40/4,329.16
  6. Step 6: Final answer
    x = 1,813.72

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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.