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Finding the Fourth Proportional to 5,929.76, 8,893.76 and 1,547.52

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Solution

The fourth proportional to 5,929.76, 8,893.76 and 1,547.52 is: 2,321.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,929.76 : 8,893.76 = 1,547.52 : x
  2. Step 2: Convert to fraction form
    5,929.76/8,893.76 = 1,547.52/x
  3. Step 3: Cross multiply
    5,929.76x = 8,893.76 × 1,547.52
  4. Step 4: Simplify right side
    5,929.76x = 13,763,271.48
  5. Step 5: Solve for x
    x = 13,763,271.48/5,929.76
  6. Step 6: Final answer
    x = 2,321.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.