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Finding the Fourth Proportional to 5,340.48, 8,009.28 and 1,875.84

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Solution

The fourth proportional to 5,340.48, 8,009.28 and 1,875.84 is: 2,813.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,340.48 : 8,009.28 = 1,875.84 : x
  2. Step 2: Convert to fraction form
    5,340.48/8,009.28 = 1,875.84/x
  3. Step 3: Cross multiply
    5,340.48x = 8,009.28 × 1,875.84
  4. Step 4: Simplify right side
    5,340.48x = 15,024,127.80
  5. Step 5: Solve for x
    x = 15,024,127.80/5,340.48
  6. Step 6: Final answer
    x = 2,813.25

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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.