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Finding the Fourth Proportional to 5,870.30, 8,807.54 and 2,582.98

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Solution

The fourth proportional to 5,870.30, 8,807.54 and 2,582.98 is: 3,875.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,870.30 : 8,807.54 = 2,582.98 : x
  2. Step 2: Convert to fraction form
    5,870.30/8,807.54 = 2,582.98/x
  3. Step 3: Cross multiply
    5,870.30x = 8,807.54 × 2,582.98
  4. Step 4: Simplify right side
    5,870.30x = 22,749,664.74
  5. Step 5: Solve for x
    x = 22,749,664.74/5,870.30
  6. Step 6: Final answer
    x = 3,875.39

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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.