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Finding the Fourth Proportional to 2,356.47, 3,534.75 and 713.01

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Solution

The fourth proportional to 2,356.47, 3,534.75 and 713.01 is: 1,069.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.47 : 3,534.75 = 713.01 : x
  2. Step 2: Convert to fraction form
    2,356.47/3,534.75 = 713.01/x
  3. Step 3: Cross multiply
    2,356.47x = 3,534.75 × 713.01
  4. Step 4: Simplify right side
    2,356.47x = 2,520,312.10
  5. Step 5: Solve for x
    x = 2,520,312.10/2,356.47
  6. Step 6: Final answer
    x = 1,069.53

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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.