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Finding the Fourth Proportional to 4,366.80, 6,547.68 and 1,444.32

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Solution

The fourth proportional to 4,366.80, 6,547.68 and 1,444.32 is: 2,165.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,366.80 : 6,547.68 = 1,444.32 : x
  2. Step 2: Convert to fraction form
    4,366.80/6,547.68 = 1,444.32/x
  3. Step 3: Cross multiply
    4,366.80x = 6,547.68 × 1,444.32
  4. Step 4: Simplify right side
    4,366.80x = 9,456,945.18
  5. Step 5: Solve for x
    x = 9,456,945.18/4,366.80
  6. Step 6: Final answer
    x = 2,165.65

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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.