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Finding the Fourth Proportional to 4,332.48, 6,495.84 and 1,409.76

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Solution

The fourth proportional to 4,332.48, 6,495.84 and 1,409.76 is: 2,113.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,332.48 : 6,495.84 = 1,409.76 : x
  2. Step 2: Convert to fraction form
    4,332.48/6,495.84 = 1,409.76/x
  3. Step 3: Cross multiply
    4,332.48x = 6,495.84 × 1,409.76
  4. Step 4: Simplify right side
    4,332.48x = 9,157,575.40
  5. Step 5: Solve for x
    x = 9,157,575.40/4,332.48
  6. Step 6: Final answer
    x = 2,113.70

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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.