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Finding the Fourth Proportional to 5,851.74, 8,075.80 and 3,494.64

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Solution

The fourth proportional to 5,851.74, 8,075.80 and 3,494.64 is: 4,822.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,851.74 : 8,075.80 = 3,494.64 : x
  2. Step 2: Convert to fraction form
    5,851.74/8,075.80 = 3,494.64/x
  3. Step 3: Cross multiply
    5,851.74x = 8,075.80 × 3,494.64
  4. Step 4: Simplify right side
    5,851.74x = 28,222,013.71
  5. Step 5: Solve for x
    x = 28,222,013.71/5,851.74
  6. Step 6: Final answer
    x = 4,822.84

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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.