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Finding the Fourth Proportional to 4,598.86, 6,862.95 and 4,106.76

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Solution

The fourth proportional to 4,598.86, 6,862.95 and 4,106.76 is: 6,128.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,598.86 : 6,862.95 = 4,106.76 : x
  2. Step 2: Convert to fraction form
    4,598.86/6,862.95 = 4,106.76/x
  3. Step 3: Cross multiply
    4,598.86x = 6,862.95 × 4,106.76
  4. Step 4: Simplify right side
    4,598.86x = 28,184,488.54
  5. Step 5: Solve for x
    x = 28,184,488.54/4,598.86
  6. Step 6: Final answer
    x = 6,128.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.