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Finding the Fourth Proportional to 5,869.84, 8,807.60 and 2,582.50

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Solution

The fourth proportional to 5,869.84, 8,807.60 and 2,582.50 is: 3,875.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,869.84 : 8,807.60 = 2,582.50 : x
  2. Step 2: Convert to fraction form
    5,869.84/8,807.60 = 2,582.50/x
  3. Step 3: Cross multiply
    5,869.84x = 8,807.60 × 2,582.50
  4. Step 4: Simplify right side
    5,869.84x = 22,745,627
  5. Step 5: Solve for x
    x = 22,745,627/5,869.84
  6. Step 6: Final answer
    x = 3,875.00

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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.