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Finding the Fourth Proportional to 3,569.76, 5,386.32 and 3,569.76

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Solution

The fourth proportional to 3,569.76, 5,386.32 and 3,569.76 is: 5,386.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.76 : 5,386.32 = 3,569.76 : x
  2. Step 2: Convert to fraction form
    3,569.76/5,386.32 = 3,569.76/x
  3. Step 3: Cross multiply
    3,569.76x = 5,386.32 × 3,569.76
  4. Step 4: Simplify right side
    3,569.76x = 19,227,869.68
  5. Step 5: Solve for x
    x = 19,227,869.68/3,569.76
  6. Step 6: Final answer
    x = 5,386.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.