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Finding the Fourth Proportional to 5,312.76, 7,331.76 and 3,075.34

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Solution

The fourth proportional to 5,312.76, 7,331.76 and 3,075.34 is: 4,244.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.76 : 7,331.76 = 3,075.34 : x
  2. Step 2: Convert to fraction form
    5,312.76/7,331.76 = 3,075.34/x
  3. Step 3: Cross multiply
    5,312.76x = 7,331.76 × 3,075.34
  4. Step 4: Simplify right side
    5,312.76x = 22,547,654.80
  5. Step 5: Solve for x
    x = 22,547,654.80/5,312.76
  6. Step 6: Final answer
    x = 4,244.06

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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.