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Finding the Fourth Proportional to 4,547.57, 6,820.68 and 1,260.32

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Solution

The fourth proportional to 4,547.57, 6,820.68 and 1,260.32 is: 1,890.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.57 : 6,820.68 = 1,260.32 : x
  2. Step 2: Convert to fraction form
    4,547.57/6,820.68 = 1,260.32/x
  3. Step 3: Cross multiply
    4,547.57x = 6,820.68 × 1,260.32
  4. Step 4: Simplify right side
    4,547.57x = 8,596,239.42
  5. Step 5: Solve for x
    x = 8,596,239.42/4,547.57
  6. Step 6: Final answer
    x = 1,890.29

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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.