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Finding the Fourth Proportional to 5,402, 8,053.84 and 5,071.52

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Solution

The fourth proportional to 5,402, 8,053.84 and 5,071.52 is: 7,561.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402 : 8,053.84 = 5,071.52 : x
  2. Step 2: Convert to fraction form
    5,402/8,053.84 = 5,071.52/x
  3. Step 3: Cross multiply
    5,402x = 8,053.84 × 5,071.52
  4. Step 4: Simplify right side
    5,402x = 40,845,210.64
  5. Step 5: Solve for x
    x = 40,845,210.64/5,402
  6. Step 6: Final answer
    x = 7,561.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.