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Finding the Fourth Proportional to 5,803.65, 8,003.88 and 4,684.23

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Solution

The fourth proportional to 5,803.65, 8,003.88 and 4,684.23 is: 6,460.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,803.65 : 8,003.88 = 4,684.23 : x
  2. Step 2: Convert to fraction form
    5,803.65/8,003.88 = 4,684.23/x
  3. Step 3: Cross multiply
    5,803.65x = 8,003.88 × 4,684.23
  4. Step 4: Simplify right side
    5,803.65x = 37,492,014.81
  5. Step 5: Solve for x
    x = 37,492,014.81/5,803.65
  6. Step 6: Final answer
    x = 6,460.08

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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.