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Finding the Fourth Proportional to 4,329.64, 6,495.48 and 1,407.72

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Solution

The fourth proportional to 4,329.64, 6,495.48 and 1,407.72 is: 2,111.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,329.64 : 6,495.48 = 1,407.72 : x
  2. Step 2: Convert to fraction form
    4,329.64/6,495.48 = 1,407.72/x
  3. Step 3: Cross multiply
    4,329.64x = 6,495.48 × 1,407.72
  4. Step 4: Simplify right side
    4,329.64x = 9,143,817.11
  5. Step 5: Solve for x
    x = 9,143,817.11/4,329.64
  6. Step 6: Final answer
    x = 2,111.91

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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.