Home / 5,416-8,124.41-3,075.10

Finding the Fourth Proportional to 5,416, 8,124.41 and 3,075.10

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Solution

The fourth proportional to 5,416, 8,124.41 and 3,075.10 is: 4,612.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416 : 8,124.41 = 3,075.10 : x
  2. Step 2: Convert to fraction form
    5,416/8,124.41 = 3,075.10/x
  3. Step 3: Cross multiply
    5,416x = 8,124.41 × 3,075.10
  4. Step 4: Simplify right side
    5,416x = 24,983,373.19
  5. Step 5: Solve for x
    x = 24,983,373.19/5,416
  6. Step 6: Final answer
    x = 4,612.88

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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.