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Finding the Fourth Proportional to 5,242.95, 7,864.40 and 1,347.35

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Solution

The fourth proportional to 5,242.95, 7,864.40 and 1,347.35 is: 2,021.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.95 : 7,864.40 = 1,347.35 : x
  2. Step 2: Convert to fraction form
    5,242.95/7,864.40 = 1,347.35/x
  3. Step 3: Cross multiply
    5,242.95x = 7,864.40 × 1,347.35
  4. Step 4: Simplify right side
    5,242.95x = 10,596,053.28
  5. Step 5: Solve for x
    x = 10,596,053.28/5,242.95
  6. Step 6: Final answer
    x = 2,021.01

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