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Finding the Fourth Proportional to 5,831.99, 8,740.65 and 4,594.50

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Solution

The fourth proportional to 5,831.99, 8,740.65 and 4,594.50 is: 6,885.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.99 : 8,740.65 = 4,594.50 : x
  2. Step 2: Convert to fraction form
    5,831.99/8,740.65 = 4,594.50/x
  3. Step 3: Cross multiply
    5,831.99x = 8,740.65 × 4,594.50
  4. Step 4: Simplify right side
    5,831.99x = 40,158,916.43
  5. Step 5: Solve for x
    x = 40,158,916.43/5,831.99
  6. Step 6: Final answer
    x = 6,885.98

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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.