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Finding the Fourth Proportional to 5,831.76, 8,049.57 and 5,534.13

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Solution

The fourth proportional to 5,831.76, 8,049.57 and 5,534.13 is: 7,638.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.76 : 8,049.57 = 5,534.13 : x
  2. Step 2: Convert to fraction form
    5,831.76/8,049.57 = 5,534.13/x
  3. Step 3: Cross multiply
    5,831.76x = 8,049.57 × 5,534.13
  4. Step 4: Simplify right side
    5,831.76x = 44,547,376.26
  5. Step 5: Solve for x
    x = 44,547,376.26/5,831.76
  6. Step 6: Final answer
    x = 7,638.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.