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Finding the Fourth Proportional to 3,888.47, 5,830.65 and 1,547.28

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Solution

The fourth proportional to 3,888.47, 5,830.65 and 1,547.28 is: 2,320.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.47 : 5,830.65 = 1,547.28 : x
  2. Step 2: Convert to fraction form
    3,888.47/5,830.65 = 1,547.28/x
  3. Step 3: Cross multiply
    3,888.47x = 5,830.65 × 1,547.28
  4. Step 4: Simplify right side
    3,888.47x = 9,021,648.13
  5. Step 5: Solve for x
    x = 9,021,648.13/3,888.47
  6. Step 6: Final answer
    x = 2,320.10

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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.