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Finding the Fourth Proportional to 6,058.16, 8,364.40 and 4,465

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Solution

The fourth proportional to 6,058.16, 8,364.40 and 4,465 is: 6,164.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,058.16 : 8,364.40 = 4,465 : x
  2. Step 2: Convert to fraction form
    6,058.16/8,364.40 = 4,465/x
  3. Step 3: Cross multiply
    6,058.16x = 8,364.40 × 4,465
  4. Step 4: Simplify right side
    6,058.16x = 37,347,046
  5. Step 5: Solve for x
    x = 37,347,046/6,058.16
  6. Step 6: Final answer
    x = 6,164.75

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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.