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Finding the Fourth Proportional to 5,162.58, 7,746.93 and 1,875.92

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Solution

The fourth proportional to 5,162.58, 7,746.93 and 1,875.92 is: 2,814.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.58 : 7,746.93 = 1,875.92 : x
  2. Step 2: Convert to fraction form
    5,162.58/7,746.93 = 1,875.92/x
  3. Step 3: Cross multiply
    5,162.58x = 7,746.93 × 1,875.92
  4. Step 4: Simplify right side
    5,162.58x = 14,532,582.19
  5. Step 5: Solve for x
    x = 14,532,582.19/5,162.58
  6. Step 6: Final answer
    x = 2,814.98

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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.